Question
The ratio of the length of a rectangle, breadth of the
rectangle and the diameter of a circle is 12:11:14. If the area of the circle is 616 cm2 , then what is the difference between the circumference of the circle and the perimeter of the rectangle?Solution
Area of the circle = pi;r2 616 = 22/7 times; r2 r2 = 196 r = 14 cm (Since, radius cannot be negative) Radius of the circle = 14 cm Diameter of the circle = 2r = 28 cm Length of the rectangle = (28/14) times; 12 = 24 cm Breadth of the rectangle = (28/14) times; 11 = 22 cm Perimeter of the rectangle = 2 times; (24 + 22) = 92 cm Circumference of the circle = 2 times; (22/7) times; 14 = 88 cm Required difference = 92 ndash; 88 = 4 cm
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